In a slope field representing a differential equation of the form

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

In a slope field representing a differential equation of the form dydx=f(x,y)\dfrac{dy}{dx}=f(x,y), what does the slope of each short line segment at a point (x,y)(x,y) equal? (a) the value of dxdy\dfrac{dx}{dy} at (x,y)(x,y) (b) the yy–coordinate of the point (c) the value of dydx\dfrac{dy}{dx} at (x,y)(x,y) (d) the value of d2ydx2\dfrac{d^{2}y}{dx^{2}} at (x,y)(x,y)

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